The Landau-level structure of a single polaron in a nanorod under a non-uniform magnetic field

Abstract

Nanorod is a unique low-dimensional nanometer structure in which the Landau level arrangement of polaron is essential for understanding its' quasiparticle system. However, the stability of the polaron level is susceptible to external factors, such as changing magnetic fields. In this manuscript, the Pekar variational method is employed to calculate the external magnetic field's effect on the nanorod's polaron Landau level. It was found that different magnetic fields have different effects on the polaron energy levels of the nanorod, which demonstrated that the external environment had critical effects on the polaron energy levels. This study provides a theoretical basis for regulating the interaction between electrons and phonons in low-dimensional nanomaterials.